82579680 has 72 divisors (see below), whose sum is σ = 281808072. Its totient is φ = 22020864.

The previous prime is 82579669. The next prime is 82579687. The reversal of 82579680 is 8697528.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82579687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27234 + ... + 30113.

It is an arithmetic number, because the mean of its divisors is an integer number (3914001).

Almost surely, 2^82579680 is an apocalyptic number.

82579680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82579680 is an abundant number, since it is smaller than the sum of its proper divisors (199228392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82579680 is a wasteful number, since it uses less digits than its factorization.

82579680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57368 (or 57357 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 82579680 is about 9087.3362433664. The cubic root of 82579680 is about 435.4694891414.

The spelling of 82579680 in words is "eighty-two million, five hundred seventy-nine thousand, six hundred eighty".